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# Which of the following can't represent

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Intern
Joined: 30 Dec 2016
Posts: 20
Location: India
GMAT 1: 480 Q22 V22
Which of the following can't represent  [#permalink]

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23 Aug 2018, 00:33
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Difficulty:

35% (medium)

Question Stats:

75% (01:38) correct 25% (02:53) wrong based on 15 sessions

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Which of the following can't represent the degree measure of an equiangular polygon ?

(A) 120

(B) 160

(C) 150

(D) 140

(E) 130

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Dread it, Run from it, Destiny still arrives.
Senior Manager
Joined: 07 Oct 2017
Posts: 258
Re: Which of the following can't represent  [#permalink]

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23 Aug 2018, 01:10
1

Consider kudos if that helped
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Thank you =Kudos
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Math Expert
Joined: 02 Aug 2009
Posts: 7763
Re: Which of the following can't represent  [#permalink]

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23 Aug 2018, 01:31
1
Thanos7 wrote:
Which of the following can't represent the degree measure of an equiangular polygon ?

(A) 120

(B) 160

(C) 150

(D) 140

(E) 130

If n is the number of sides, each angle = $$\frac{(n-2)*180}{n}=180-\frac{360}{n}=x.............180-x=\frac{360}{n}$$, so 180-x should be a factor of 360
now x is what is given in the choices, let us check

(A) 120............. 180-120=60.. yes 60 is factor of 360

(B) 160............. 180-160=20.. yes 20 is factor of 360

(C) 150............. 180-150=30.. yes 30 is factor of 360

(D) 140............. 180-140=40.. yes 40 is factor of 360

(E) 130............. 180-130=50.. no 50 is not a factor of 360

E
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Re: Which of the following can't represent   [#permalink] 23 Aug 2018, 01:31
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